Title of article
A general construction of Reed-Solomon codes based on generalized discrete Fourier transform
Author/Authors
Sahami, Najme Department of mathematical sciences - University of Kashan, Kashan Isfahan, Iran , Mazrooei, Majid Department of mathematical sciences - University of Kashan, Kashan Isfahan, Iran
Pages
11
From page
35
To page
45
Abstract
In this paper, we employ the concept of the Generalized Discrete Fourier Transform, which in turn relies on the Hasse derivative of polynomials, to give a general construction of Reed-Solomon codes over Galois fields of characteristic not necessarily co-prime with the length of the code. The constructed linear codes enjoy nice algebraic properties just as the classic one.
Keywords
Reed-Solomon Codes , Linear Codes , Hasse Derivatives , Generalized Discrete Fourier Transform
Journal title
Astroparticle Physics
Serial Year
2019
Record number
2451891
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